Doprowadz do najprostszej postaci :   [latex]A. 5(2x-4)^{2}-x^{2}-9+ (x+3)^{2} = \ B. (2a-4b)^{2}-2ab^{2}-4b^{2}+3(2a-b) (2a+b) +5= \ C. (8x+3) (8x-3) + (6x+2)^{2} -4 (2x+7) = \ D. 2x(x^{2}-2x+5) -4x^{2} (x^{2}-2x+5) +10x^{3} = \[/latex]

Doprowadz do najprostszej postaci :   [latex]A. 5(2x-4)^{2}-x^{2}-9+ (x+3)^{2} = \ B. (2a-4b)^{2}-2ab^{2}-4b^{2}+3(2a-b) (2a+b) +5= \ C. (8x+3) (8x-3) + (6x+2)^{2} -4 (2x+7) = \ D. 2x(x^{2}-2x+5) -4x^{2} (x^{2}-2x+5) +10x^{3} = \[/latex]
Odpowiedź

5(2x-4)²-x²-9+(x+3)²= 5(4x²-16x+16)-x²-9+x²+6x+9= 20x²-80x+80-x²-9+x²+6x+9= 20x²-74x-80 ====================================== (2a-4b)²-2ab²-4b²+3(2a-b)(2a+b)+5= 4a²-32ab+16-2ab²-4b²+3(4a²+2ab-2ab+b²)+5= 4a²-32ab+16-2ab²-4b²+12a²+6ab-6ab+3b²+5= 16a²-b²-2ab²-32ab+21 ======================================= (8x+3)(8x-3)+(6x+2)²-4(2x+7)= 64x²-24x+24x+9+36x²+24x+4-8x-28= 100x²-16x-15 ======================================= 2x(x²-2x+5)-4x²(x²-2x+5)+10x³= 2x³-4x²+10-4x⁴+8x³-20x²+10x³= -4x⁴+10x³-24x²+10   w razie wątpliwości pisz na PW

a!)  =5(4x-8)-2x-9+2x+6=20x-40-2x-9+2x+6=20x-43 B!) =4a-8b-4ab-8b+3(4a2+ab-2ab-b2)+5= =16ab+4a-4ab+12a2+6ab-6ab-3b2+5= =-20ab+4a+9a2+5 C!)  =64x2-24x+24x+12x+4-8x-28=64x2+4x-24 D!) =4x2-4x2+10x-8x2+16x2+40+30x=8x2+40x+40   JAK JEST   4x2  TO TA 2 PO IKSIE TO ZNACZY DO KWADRATU  PROSZE

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